Acceleration of a rod when one end is released

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indie452
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Homework Statement



two people are holding the ends of a rod length l and mass M, show that if one person let's go the initial acceleration of the free end is 3g/2


The Attempt at a Solution


i worked out the moment of inertia about centre mass (cm) and got = Ml2/12

because L=Iw
dL/dt = I*dw/dt
Torque (T) = I*ang.acc. (a)
so
a = T/I = mglsin[90] / Ml2/12
= 12g/l
this is wrong so i used l=l/2 as this is the distance to the cm.
so a = 24g/l also wrong

what am i doing wrong?
 
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